Sinossi
Grigor'yan presents a textbook for a one-semester lecture course introducing the discrete Laplace operator on locally finite graphs to graduate or undergraduate students with a background in linear algebra, analysis, and elementary probability theory. He begins with elementary material at the level of first semester mathematics, and concludes with results proved in the mathematical literature of the 1990s, though of course he does not cover every topic in between. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
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Introduction to Analysis on Graphs
Editore:
American Mathematical Society, 2018
ISBN 10: 147044397X
ISBN 13: 9781470443979
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Introduction to Analysis on Graphs
Editore:
American Mathematical Society, US, 2018
ISBN 10: 147044397X
ISBN 13: 9781470443979
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Paperback. Condizione: New. A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk (Markov chain) on finite graphs. For infinite graphs, a study of the heat kernel allows to solve the type problem-a problem of deciding whether the random walk is recurrent or transient.This book starts with elementary properties of the eigenvalues on finite graphs, continues with their estimates and applications, and concludes with heat kernel estimates on infinite graphs and their application to the type problem. The book is suitable for beginners in the subject and accessible to undergraduate and graduate students with a background in linear algebra I and analysis I. It is based on a lecture course taught by the author and includes a wide variety of exercises. The book will help the reader to reach a level of understanding sufficient to start pursuing research in this exciting area. Codice articolo LU-9781470443979
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Introduction to Analysis on Graphs
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Paperback. Condizione: Brand New. 150 pages. 9.75x7.00x0.50 inches. In Stock. Codice articolo __147044397X
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Introduction to Analysis on Graphs
Editore:
American Mathematical Society, 2018
ISBN 10: 147044397X
ISBN 13: 9781470443979
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Introduction to Analysis on Graphs (University Lecture Series)
Editore:
American Mathematical Society, 2018
ISBN 10: 147044397X
ISBN 13: 9781470443979
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Condizione: Very Good. Item in very good condition! Textbooks may not include supplemental items i.e. CDs, access codes etc. Codice articolo 00095967622
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Introduction to analysis on graphs. University lecture series; volume 71.
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Providence, American Mathematical Society, 2018
ISBN 10: 147044397X
ISBN 13: 9781470443979
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Softcover. viii, 150 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04727 9781470443979 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2490967
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Introduction to Analysis on Graphs
Editore:
American Mathematical Society, US, 2018
ISBN 10: 147044397X
ISBN 13: 9781470443979
Nuovo
Paperback
Da: Rarewaves.com UK, London, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk (Markov chain) on finite graphs. For infinite graphs, a study of the heat kernel allows to solve the type problem-a problem of deciding whether the random walk is recurrent or transient.This book starts with elementary properties of the eigenvalues on finite graphs, continues with their estimates and applications, and concludes with heat kernel estimates on infinite graphs and their application to the type problem. The book is suitable for beginners in the subject and accessible to undergraduate and graduate students with a background in linear algebra I and analysis I. It is based on a lecture course taught by the author and includes a wide variety of exercises. The book will help the reader to reach a level of understanding sufficient to start pursuing research in this exciting area. Codice articolo LU-9781470443979
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